10100007 has 12 divisors (see below), whose sum is σ = 14618344. Its totient is φ = 6719760.

The previous prime is 10099997. The next prime is 10100009. The reversal of 10100007 is 70000101.

10100007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100007 - 2¹⁰ = 10098983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5832 + ... + 7362.

Almost surely, 2^10100007 is an apocalyptic number.

10100007 is a deficient number, since it is larger than the sum of its proper divisors (4518337).

10100007 is a wasteful number, since it uses less digits than its factorization.

10100007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 10100007 is about 3178.0508177183. The cubic root of 10100007 is about 216.1592832323.

Adding to 10100007 its reverse (70000101), we get a palindrome (80100108).

The spelling of 10100007 in words is "ten million, one hundred thousand, seven".